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Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

2008

Mathematics Theses

Partial Least Square Regression

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Full-Text Articles in Mathematics

Infrared Spectroscopy In Combination With Advanced Statistical Methods For Distinguishing Viral Infected Biological Cells, Tian Tang Nov 2008

Infrared Spectroscopy In Combination With Advanced Statistical Methods For Distinguishing Viral Infected Biological Cells, Tian Tang

Mathematics Theses

Fourier Transform Infrared (FTIR) microscopy is a sensitive method for detecting difference in the morphology of biological cells. In this study FTIR spectra were obtained for uninfected cells, and cells infected with two different viruses. The spectra obtained are difficult to discriminate visually. Here we apply advanced statistical methods to the analysis of the spectra, to test if such spectra are useful for diagnosing viral infections in cells. Logistic Regression (LR) and Partial Least Squares Regression (PLSR) were used to build models which allow us to diagnose if spectral differences are related to infection state of the cells. A three-fold, …


Some Conclusions Of Statistical Analysis Of The Spectropscopic Evaluation Of Cervical Cancer, Hailun Wang Aug 2008

Some Conclusions Of Statistical Analysis Of The Spectropscopic Evaluation Of Cervical Cancer, Hailun Wang

Mathematics Theses

To significantly improve the early detection of cervical precancers and cancers, LightTouch™ is under development by SpectRx Inc.. LightTouch™ identifies cancers and precancers quickly by using a spectrometer to analyze light reflected from the cervix. Data from the spectrometer is then used to create an image of the cervix that highlights the location and severity of disease. Our research is conducted to find the appropriate models that can be used to generate map-like image showing disease tissue from normal and further diagnose the cervical cancerous conditions. Through large work of explanatory variable search and reduction, logistic regression and Partial Least …